The new iteration algorithm for absolute value equation

被引：57
作者：
Ke, Yifen [1 ,2 ]
机构：
[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 99卷
基金：
美国国家科学基金会;
关键词：
Absolute value equation; Iteration algorithm; Convergence analysis; GENERALIZED NEWTON METHOD; CONVERGENCE;
D O I：
10.1016/j.aml.2019.07.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a new iteration algorithm is proposed for the absolute value equation. The convergence of the proposed algorithm is studied under suitable assumptions. Moreover, some numerical experiments are given to demonstrate the feasibility and effectiveness of the algorithm. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：7
相关论文
共 25 条
[1]   On the global convergence of the inexact semi-smooth Newton method for absolute value equation [J].
Bello Cruz, J. Y. ;
Ferreira, O. P. ;
Prudente, L. F. .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2016, 65 (01) :93-108
[2]  
Berman A., 1979, Nonnegative Matrix in the Mathematical Sciences
[3]   A globally and quadratically convergent method for absolute value equations [J].
Caccetta, Louis ;
Qu, Biao ;
Zhou, Guanglu .
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2011, 48 (01) :45-58
[4]   A generalization of the Gauss-Seidel iteration method for solving absolute value equations [J].
Edalatpour, Vahid ;
Hezari, Davod ;
Salkuyeh, Davod Khojasteh .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 293 :156-167
[5]   A generalized Newton method for absolute value equations associated with second order cones [J].
Hu, Sheng-Long ;
Huang, Zheng-Hai ;
Zhang, Qiong .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (05) :1490-1501
[6]   A note on absolute value equations [J].
Hu, Sheng-Long ;
Huang, Zheng-Hai .
OPTIMIZATION LETTERS, 2010, 4 (03) :417-424
[7]   On the convergence analysis of two-step modulus-based matrix splitting iteration method for linear complementarity problems [J].
Ke, Yi-Fen ;
Ma, Chang-Feng .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 :413-418
[8]   Optimal error correction of the absolute value equation using a genetic algorithm [J].
Ketabchi, Saeed ;
Moosaei, Hossein ;
Fallahi, Saeed .
MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) :2339-2342
[9]   An efficient method for optimal correcting of absolute value equations by minimal changes in the right hand side [J].
Ketabchi, Saeed ;
Moosaei, Hossein .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (06) :1882-1885
[10]   A Modified Generalized Newton Method for Absolute Value Equations [J].
Li, Cui-Xia .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 170 (03) :1055-1059
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